2180281536 has 224 divisors, whose sum is σ = 6679956160. Its totient is φ = 705438720.

The previous prime is 2180281487. The next prime is 2180281577. The reversal of 2180281536 is 6351820812.

It is a happy number.

2180281536 is a `hidden beast` number, since 21 + 80 + 28 + 1 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2180281536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5178606 + ... + 5179026.

Almost surely, 2^2180281536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180281536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339978080).

2180281536 is an abundant number, since it is smaller than the sum of its proper divisors (4499674624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2180281536 is an frugal number, since it uses more digits than its factorization.

2180281536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2180281536 is about 46693.4849416918. The cubic root of 2180281536 is about 1296.6940726675.

The spelling of 2180281536 in words is "two billion, one hundred eighty million, two hundred eighty-one thousand, five hundred thirty-six".